Natural convection heat transfer in partially open inclined square cavities

Abstract A numerical study has been carried out on inclined partially open square cavities, which are formed by adiabatic walls and a partial opening. The surface of the wall inside the cavity facing the partial opening is isothermal. Steady-state heat transfer by laminar natural convection in a two dimensional partially open cavity is studied by numerically solving equations of mass, momentum and energy. Streamlines and isotherms are produced, heat and mass transfer is calculated. A parametric study is carried out using following parameters: Rayleigh number from 103 to 106, dimensionless aperture size from 0.25 to 0.75, aperture position at high, center and low, and inclination of the opening from 0° (facing upward) to 120° (facing 30° downward). It is found that the volume flow rate and Nusselt number are an increasing function of Rayleigh number, aperture size and generally aperture position. Other parameters being constant, Nusselt number is a non-linear function of the inclination angle. Depending on the application, heat transfer can be maximized or minimized by selecting appropriate parameters, namely aperture size, aperture position and inclination angle at a given operation Rayleigh number.

[1]  C. F. Hess,et al.  Experimental Investigation of Natural Convection Losses From Open Cavities , 1984 .

[2]  C. L. Tien,et al.  A numerical study of two-dimensional laminar natural convection in shallow open cavities , 1985 .

[3]  Patrick Le Quere,et al.  NUMERICAL CALCULATION OF THERMALLY DRIVEN TWO-DIMENSIONAL UNSTEADY LAMINAR FLOW IN CAVITIES OF RECTANGULAR CROSS SECTION , 1981 .

[4]  Abdulmajeed A. Mohamad,et al.  NATURAL CONVECTION IN OPEN CAVITIES AND SLOTS , 1995 .

[5]  C. L. Tien,et al.  Laminar Natural Convection in Shallow Open Cavities , 1986 .

[6]  E. Bender.  Numerical heat transfer and fluid flow. Von S. V. Patankar. Hemisphere Publishing Corporation, Washington – New York – London. McGraw Hill Book Company, New York 1980. 1. Aufl., 197 S., 76 Abb., geb., DM 71,90 , 1981 .

[7]  E. Bilgen,et al.  Laminar natural convection in inclined open shallow cavities , 2002 .

[8]  E. Bilgen,et al.  Laminar natural convection in inclined enclosures bounded by a solid wall , 1997 .

[9]  Richard J Goldstein,et al.  TWO-DIMENSIONAL LAMINAR NATURAL CONVECTION HEAT TRANSFER FROM A FULLY OR PARTIALLY OPEN SQUARE CAVITY , 1989 .

[10]  S. Patankar.  Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[11]  F. Penot,et al.  NUMERICAL CALCULATION OF TWO-DIMENSIONAL NATURAL CONVECTION IN ISOTHERMAL OPEN CAVITIES , 1982 .

[12]  E. Bilgen,et al.  Conjugate heat transfer in inclined open shallow cavities , 2003 .

[13]  C. Tien,et al.  a Numerical Study of Two-Dimensional Natural Convection in Square Open Cavities , 1985 .

[14]  Valentinas Sernas,et al.  NATURAL CONVECTION IN AN OPEN CAVITY , 1982 .

[15]  Walid Chakroun,et al.  Effect of aperture geometry on heat transfer in tilted partially open cavities , 1999 .

[16]  Walid Chakroun,et al.  Experimental Measurements of Heat Transfer Coefficient in a Partially/Fully Opened Tilted Cavity , 1997 .